Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 491, 732, 873, 366 i.e. 1 largest integer that divides all the numbers equally.
GCD of 491, 732, 873, 366 is 1
GCD(491, 732, 873, 366) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 491, 732, 873, 366 is 1
GCD(491, 732, 873, 366) = 1
Given Input numbers are 491, 732, 873, 366
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 732
List of positive integer divisors of 732 that divides 732 without a remainder.
1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
Divisors of 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Greatest Common Divisior
We found the divisors of 491, 732, 873, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 491, 732, 873, 366 is 1.
Therefore, GCD of numbers 491, 732, 873, 366 is 1
Given Input Data is 491, 732, 873, 366
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 491 is 491
Prime Factorization of 732 is 2 x 2 x 3 x 61
Prime Factorization of 873 is 3 x 3 x 97
Prime Factorization of 366 is 2 x 3 x 61
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(491, 732) = 359412
GCD(491, 732) = ( 491 x 732 ) / 359412
GCD(491, 732) = 359412 / 359412
GCD(491, 732) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 873
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 873) = 873
GCD(1, 873) = ( 1 x 873 ) / 873
GCD(1, 873) = 873 / 873
GCD(1, 873) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 366
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 366) = 366
GCD(1, 366) = ( 1 x 366 ) / 366
GCD(1, 366) = 366 / 366
GCD(1, 366) = 1
GCD of 491, 732, 873, 366 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 491, 732, 873, 366?
GCD of 491, 732, 873, 366 is 1
2. Where do I get the detailed procedure to find GCD of 491, 732, 873, 366?
You can find a detailed procedure to find GCD of 491, 732, 873, 366 on our page.
3. How to find GCD of 491, 732, 873, 366 on a calculator?
You can find the GCD of 491, 732, 873, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.